Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17248a |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
32467359232 = 29 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 1 -4 7+ 11+ -5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,-1156] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:62:1] |
Generators of the group modulo torsion |
j |
19208/11 |
j-invariant |
L |
3.5316368816908 |
L(r)(E,1)/r! |
Ω |
0.97334527067521 |
Real period |
R |
3.6283495570291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17248y1 34496h1 17248k1 |
Quadratic twists by: -4 8 -7 |